Zeta function of self-adjoint operators on surfaces of revolution
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Authors
Lu, Tianshi
Jeffres, Thalia D.
Kirsten, Klaus
Advisors
Issue Date
2015-04-10
Type
Article
Keywords
Zeta function , Self-adjoint , Contour integral , WKB
Citation
Lu, Tianshi; Jeffres, Thalia D.; Kirsten, Klaus. 2015. Zeta function of self-adjoint operators on surfaces of revolution. Journal of Physics A: Mathematical and Theoretical, vol. 48:no. 14:Article no. 145204
Abstract
In this article we analyze the zeta function for the Laplace operator on a surface of revolution. A variety of boundary conditions, separated and unseparated, are considered. Formulas for several residues and values of the zeta function as well as for the determinant of the Laplacian are obtained. The analysis is based upon contour integration techniques in combination with a WKB analysis of solutions of related initial value problems.
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Publisher
IOP Publishing
Journal
Book Title
Series
Journal of Physics A: Mathematical and Theoretical;v.48:no.14
PubMed ID
DOI
ISSN
1751-8113